Question

# Find the volume of the rectangular solids whose dimensions are as follows:(a) Length = 15 m, Breadth = 12 m and Thickness = 75 cm(b) Length = $$12\frac{1}{2}$$ m, Breadth = 5.2 m and Thickness = 80 cm

Solution

## Given are two sets of dimensions of a rectangular solid.To find out: Volume of the solid.$$(a)$$ Given dimensions are: $$l=15\ m,\ b=12\ m$$ and thickness $$=75\ cm$$.Hence, volume of the solid $$=l\times b\times \text{thickness}$$$$=15\times 12\times 0.75\quad \quad [75\ cm=0.75\ m]$$$$=180\times 0.75$$$$=135 \ m^3$$$$\therefore \$$ Volume of the solid $$=135 \ m^{3}$$$$(b)$$ Given dimensions are: $$l=12\frac12=\frac{25}{2}\ m,\ b=5.2\ m$$ and thickness $$=80\ cm=0.80\ m$$.Hence, volume of solids$$=l\times b\times \text{thickness}$$$$=\dfrac{25}{2}\times 5.2\times 0.80\\$$$$=12.5\times 4.16\\$$$$= 52\ m^3\\$$$$\therefore \$$ Volume of the solid $$=52 \ m^{3}$$.Mathematics

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